Demos of Inverse Problems

Here are some demos of solving inverse problems of PDEs.

ODEs

• Inverse problem for the Lorenz system
• Inverse problem for the Lorenz system with exogenous input

Time-independent PDEs

• Inverse problem for the Poisson equation with unknown forcing field

• Inverse problem for the Poisson equation with unknown forcing field with training points resampling

• Inverse problem for Brinkman-Forchheimer model

• Inverse problem for the diffusion-reaction system with a space-dependent reaction rate

Time-dependent PDEs

• Inverse problem for the diffusion equation
• Inverse problem for the diffusion-reaction system

• Inverse problem for the Navier-Stokes equation of incompressible flow around cylinder

fractional PDEs

• Inverse problem for the fractional Poisson equation in 1D

• Inverse problem for the fractional Poisson equation in 2D